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Finding the Fourth Proportional to 278,810.16, 384,761.52 and 151,487.88

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Solution

The fourth proportional to 278,810.16, 384,761.52 and 151,487.88 is: 209,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,810.16 : 384,761.52 = 151,487.88 : x
  2. Step 2: Convert to fraction form
    278,810.16/384,761.52 = 151,487.88/x
  3. Step 3: Cross multiply
    278,810.16x = 384,761.52 × 151,487.88
  4. Step 4: Simplify right side
    278,810.16x = 58,286,706,970.38
  5. Step 5: Solve for x
    x = 58,286,706,970.38/278,810.16
  6. Step 6: Final answer
    x = 209,055.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.